There are numerous relevant borderline cases where finite populations might hold different results. One example that was already shown to have particularly different results in finite populations is the transition through \(I=0\)  (see [1]}), under which occurs a transition leading to functions with two extremes, as shown in section REF . However, the orderings were explored assuming the entries in the payoff matrix to be different from each other. This ignores potentially interesting equal payoff cases, such as the one with \(a=c\)  and \(b=d\)  under which there is neutral selection for infinitely large populations but not for finite ones, leading to size-dependent equilibria [2]}.
